This really doesn't seem as complicated as it's made out to be, nor as contentious, so i'll throw in my 500 words and EVERYONE WILL AGREE, YAY....
He was the offense at Cornell and as such was probably forced to take shots that most would consider ill advised (contested) and will not be taking at UConn. First off all, he is clearly a good rebounder with a nose for the ball and by all accounts a solid defender. Just those attributes will make him an improvement over our 4's from last year even without the 2" that Facey has on him. Pair him with Brimah and you have two excellent defenders and will make Brimah better in a number of ways mainly-a) he will be in better position all over the court meaning Brimah will not have to be the hero as often and b) when someone does get beat and AB goes for the block, Miller-presumably-will be focused on boxing out and grabbing the rebound c) with his dribble he should be able to take the ball off the rim and start the break even if it is only 1-2 dribbles. With him and Hamilton both capable of crashing the boards and dribbling, one guard can leak out and we can play at a bit faster pace. Again, if he contributes nothing on O, his presence should add maybe 4 ppg net due to improvements on D and the boards.
On the other side of the ball I think we can be sure he will be an improvement, how much so is yet to be determined. His handle is tight, especially for someone who plays big as he does, he shows a knack for finishing around the rim through/around contact and he looks to dunk everything, which is good (also something i noticed in Diarra-seems much more aggressive than other bigs we've brought in, but i digress). I doubt he plays as a traditional back to the basket 4 man, but against smaller opponents I am confident he will take advantage of a mismatch inside. Instead, as it was postulated before, I think he spends a lot of time on the perimeter, opening up driving lanes or being the pick in a PnR. If teams ignore him, he will have a green light to let it fly from 3, but more often than not, he should be able to catch a big man in his closeout and get into the lane (from there it seems he looks to the rim but he definitely showed an ability to pass, I just don't know if he can do so off the dribble).
The bottom line is that he knows he was brought here because we sorely lack a 4 who can defend and rebound. Having him and Brimah should ensure an excellent defensive combo at the 4-5 and on offense he literally does not have to force anything. I mean defenders have to stick to Gibbs like glue or he will make it rain from 3: Hamilton will be a constant mismatch and should play a much more streamlined game as a soph, meaning quicker decisions and more controlled play; Purvis seemed to realize in March that he can over power anyone to the rim as long as he isn't trying to iso after 3 dribbles and instead makes his move as soon as he catches and teams cannot slag off AB or they will pay in the form of constant dunks. Even Adams off the bench will probably take more focus from the D than Miller will, which means that all Miller has to do is keep the D honest. If teams want to stop our other options and leave him, I am confident he will make them pay, and we have at least 2 guys (gibbs/dham) who can get their shot off 1-1 whenever they want. It will take a great deal of practice for this team to really get its chemistry right and last years team never seemed capable, but if that happens, I legit see a top 10 team with the potential to rack up 28 wins (maybe not with the schedule), before the tourney starts.